On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets

Bünyamin Elturan; Serkan Atmaca

doi:10.17776/csj.1666949

On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets

Abstract

In this study, some algebraic properties of intuitionistic fuzzy parameter soft (IFPS) which combining the strengths of intuitionistic fuzzy sets and parameterized soft set theory, are given with examples. A topological structure is constructed on IFPS sets, providing a foundation for exploring fundamental topological notions such as open and closed sets, interior, closure and neighbourhood systems within this new context. Additionally, the concept of IFPS function is defined and its algebraic properties are investigated. Finally, mappings between IFPS topological spaces are examined and the notion of IFPS continuity is introduced and its properties are analysed.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra , Topology

Journal Section

Research Article

Authors

Bünyamin Elturan
0009-0002-6255-0721
Türkiye

Serkan Atmaca ^*
0000-0003-1276-9004
Türkiye

Publication Date

December 30, 2025

Submission Date

May 7, 2025

Acceptance Date

October 9, 2025

Published in Issue

Year 2025 Volume: 46 Number: 4

DOI

https://doi.org/10.17776/csj.1666949

IZ

https://izlik.org/JA35JP55ZW

Cite

RIS / Bibtex

APA

Elturan, B., & Atmaca, S. (2025). On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets. Cumhuriyet Science Journal, 46(4), 870-880. https://doi.org/10.17776/csj.1666949